Use the slope of the given line to construct a parallel line
2 answers:
Answer:
y = - x - 7
Step-by-step explanation:
Parallel lines have equal slopes.
Calculate the slope m of the given line using the slope formula
m =
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line
m = = -
, thus
y = - x + c ← is the partial equation
To find c substitute P(- 3, - 3) into the partial equation
- 3 = 4 + c ⇒ c = - 3 - 4 = - 7
y = - x - 7 ← equation of parallel line
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Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
Whereas the area of a circle for a radius r is given as
Now the ratio is given as
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
Ava bought pounds of fruit for a class party , class ate
pounds fruits then
pounds fruit left after party.
How can we find how much fruit is left after party ?
Ava bought pounds fruit
ate by class pounds fruit
fruit left after party
So pound fruit is left .
Learn more about the fruit left here :
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